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Finding the Fourth Proportional to 158.88, 219.32 and 106.44

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Solution

The fourth proportional to 158.88, 219.32 and 106.44 is: 146.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.88 : 219.32 = 106.44 : x
  2. Step 2: Convert to fraction form
    158.88/219.32 = 106.44/x
  3. Step 3: Cross multiply
    158.88x = 219.32 × 106.44
  4. Step 4: Simplify right side
    158.88x = 23,344.42
  5. Step 5: Solve for x
    x = 23,344.42/158.88
  6. Step 6: Final answer
    x = 146.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.